%I #16 Jul 15 2022 21:48:15
%S 1,1,4,11,40,147,568,2227,8824,35123,140152,559923,2238328,8950579,
%T 35796856,143176499,572684152,2290692915,9162684280,36650562355,
%U 146601899896,586406900531,2345626204024,9382502019891,37530002487160
%N Number of 0..4 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..4 introduced in row major order.
%C Row 1 of A214141.
%H R. H. Hardin, <a href="/A214142/b214142.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -7*a(n-2) -6*a(n-3) +8*a(n-4).
%F Empirical: a(n) = 2^n/6 - 11*(-1)^n/30 + 4^n/30 + 1/6. - _R. J. Mathar_, Jul 07 2012
%F Empirical: partial sums of A110613. - _Sean A. Irvine_, Jul 14 2022
%e Some solutions for n=4:
%e 0 1 2 0 1 0 1 2 3 1 0 1 0 1 2 0 1 2 1 2
%K nonn
%O 1,3
%A _R. H. Hardin_, Jul 05 2012